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Finding the Fourth Proportional to 9,978.72, 13,764.24 and 6,001.08

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Solution

The fourth proportional to 9,978.72, 13,764.24 and 6,001.08 is: 8,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.72 : 13,764.24 = 6,001.08 : x
  2. Step 2: Convert to fraction form
    9,978.72/13,764.24 = 6,001.08/x
  3. Step 3: Cross multiply
    9,978.72x = 13,764.24 × 6,001.08
  4. Step 4: Simplify right side
    9,978.72x = 82,600,305.38
  5. Step 5: Solve for x
    x = 82,600,305.38/9,978.72
  6. Step 6: Final answer
    x = 8,277.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.